
Strassen's decomposition [1]} of the tensor \({\cal T}_{222}\)  with rank 7 has the signature \((2,1,1,1,1,1,1)\) .

Laderman's decomposition [2]} of \({\cal T}_{333}\)  with rank 23 has the signature \((2,2,2,2,\underbrace{1,\ldots ,1}_{19\times })\) .
Similarly, Smirnov's decomposition of the tensor [3]} has the same signature.

Double Strassen decomposition of \({\cal T}_{444}\)  with rank 49 has the signature \((4,\underbrace{2,\ldots ,2}_{12\times },\underbrace{1,\ldots ,1}_{36\times })\) .

Makarov's decomposition of \({\cal T}_{555}\)  [4]} with rank 100 has the signature \((4,\underbrace{2,\ldots ,2}_{22\times },\underbrace{1,\ldots ,1}_{77\times })\) .

Smirnov's decomposition of \({\cal T}_{336}\)  [3]} with rank 40 has the signature \(\underbrace{\left(\frac{3}{2}\right.,\ldots ,\frac{3}{2}}_{16\times },\underbrace{\frac{5}{4},\ldots ,\left.\frac{5}{4}\right)}_{24\times }\)

